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Finding the Fourth Proportional to 502.15, 752.01 and 284.80

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Solution

The fourth proportional to 502.15, 752.01 and 284.80 is: 426.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.15 : 752.01 = 284.80 : x
  2. Step 2: Convert to fraction form
    502.15/752.01 = 284.80/x
  3. Step 3: Cross multiply
    502.15x = 752.01 × 284.80
  4. Step 4: Simplify right side
    502.15x = 214,172.45
  5. Step 5: Solve for x
    x = 214,172.45/502.15
  6. Step 6: Final answer
    x = 426.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.